My advice right now is to do nothing, as like I stated before, there is a high likely hood you will do more damage at this point. You have every reason to be pissed off, and a definite reduction in price from the flatwork contractor should be made. Give him every oppurtunity to make it right, but who wants to look at foot prints all over their new pool deck. I don't think taking the sledgehammer to it will be the best approach. If you don't pay him at all, your just asking for big mess. Tell him you will pay 50% now, and 50% when the footprints are gone, or some type of arrangement you two can work out, but he needs to do something to try and make it right. I'm assuming you are having a pool company do this for you, and sometimes the concrete finishers work for said company, and other times they are a sub for the pool company. Either way, the superintindent for the pool company should make it right. IMO, the responsibility lies with the pool company to remove the stains, whether they do it or not. Its not like they poured the concrete in a creek bed where nobody will ever see.
As the judge suggested, you might try and get a soft bristle brush and some mild soapy water, and scrub on one of the stains to see what happens, just for your own knowledge. Like I said in the previous post, don't get in a big hurry with harsh chemicals or power washers, or you will end up pitting the concrete and it will look worse than it already does.